Interacting electrons in a narrow quantum hall system

We discuss the electronic properties of a system of interacting electrons in a narrow channel in the quantum Hall effect regime. We demonstrate that the system undergoes phase transitions when then strength of the interaction or the geometry of the channel is varied. The resulting phase diagram contains odd-denominator quantum Hall states and also a stable η=1/2 state. The collective mode evaluated at the half-filled case is strikingly similar to that of an odd-denominator state. We discuss the nature of the phases with non-zero total momentum or with no energy gap. We also analyze the spin polarizations of those stable states as a function of temperature. At η=1/2 no two-dimensional analog exists, but for the odd-denominator states the temperature dependence closely resemble the ones in the corresponding two dimensional systems where the results have received support from experiments.